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Finding the Fourth Proportional to 2,066.50, 2,849.47 and 1,320.49

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Solution

The fourth proportional to 2,066.50, 2,849.47 and 1,320.49 is: 1,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.50 : 2,849.47 = 1,320.49 : x
  2. Step 2: Convert to fraction form
    2,066.50/2,849.47 = 1,320.49/x
  3. Step 3: Cross multiply
    2,066.50x = 2,849.47 × 1,320.49
  4. Step 4: Simplify right side
    2,066.50x = 3,762,696.64
  5. Step 5: Solve for x
    x = 3,762,696.64/2,066.50
  6. Step 6: Final answer
    x = 1,820.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.